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Finding the Fourth Proportional to 409,725.67, 614,566.60 and 125,416.37

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Solution

The fourth proportional to 409,725.67, 614,566.60 and 125,416.37 is: 188,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,725.67 : 614,566.60 = 125,416.37 : x
  2. Step 2: Convert to fraction form
    409,725.67/614,566.60 = 125,416.37/x
  3. Step 3: Cross multiply
    409,725.67x = 614,566.60 × 125,416.37
  4. Step 4: Simplify right side
    409,725.67x = 77,076,709,197.02
  5. Step 5: Solve for x
    x = 77,076,709,197.02/409,725.67
  6. Step 6: Final answer
    x = 188,117.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.